400626126 has 48 divisors (see below), whose sum is σ = 900581760. Its totient is φ = 128560320.

The previous prime is 400626071. The next prime is 400626133. The reversal of 400626126 is 621626004.

It is a happy number.

400626126 is a `hidden beast` number, since 40 + 0 + 6 + 2 + 612 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 400626126.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218851 + ... + 220673.

It is an arithmetic number, because the mean of its divisors is an integer number (18762120).

Almost surely, 2^400626126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400626126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450290880).

400626126 is an abundant number, since it is smaller than the sum of its proper divisors (499955634).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400626126 is a wasteful number, since it uses less digits than its factorization.

400626126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 400626126 is about 20015.6470292619. The cubic root of 400626126 is about 737.1905439610.

The spelling of 400626126 in words is "four hundred million, six hundred twenty-six thousand, one hundred twenty-six".